What is the Least Common Multiple of 63135 and 63147?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 63135 and 63147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63135 and 63147, than apply into the LCM equation.

GCF(63135,63147) = 3
LCM(63135,63147) = ( 63135 × 63147) / 3
LCM(63135,63147) = 3986785845 / 3
LCM(63135,63147) = 1328928615

Least Common Multiple (LCM) of 63135 and 63147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63135 and 63147. First we will calculate the prime factors of 63135 and 63147.

Prime Factorization of 63135

Prime Factorization of 63147

Now multiplying the highest exponent prime factors to calculate the LCM of 63135 and 63147.

LCM(63135,63147) = 3² × 5¹ × 23¹ × 61¹ × 7¹ × 31¹ × 97¹
LCM(63135,63147) = 1328928615